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Finding the Third Proportional to 115,886 and 244,226

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Solution

The third proportional to 115,886 and 244,226 is: 514,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,886 : 244,226 = 244,226 : x
  2. Step 2: Convert to fraction form
    115,886/244,226 = 244,226/x
  3. Step 3: Cross multiply
    115,886x = 244,226 × 244,226
  4. Step 4: Simplify right side
    115,886x = 59,646,339,076
  5. Step 5: Solve for x
    x = 59,646,339,076/115,886
  6. Step 6: Final answer
    x = 514,698.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.